The invention relates to the use of a substance for restoring normal co-expression and interaction between the LOX and NRAGE proteins. The invention relates in particular to the use of an effective amount of at least one substance that modulates the expression and/or activity of the LOX of SEQ ID NO: 1 and/or that modulates the expression and/or activity of the NRAGE of SEQ ID NO: 2 for modulating the interaction between the LOX and NRAGE proteins to regulate the balance between the cellular proliferation, differentiation and apoptosis, particularly in cases where the balance between these phenomena is disturbed, and especially in cases where the interaction between LOX and NRAGE is absent or altered. The invention makes it possible to treat skin ageing, lichen planus, graft-versus-host reaction (GVH), eczema, psoriasis and a cancer, particularly an epithelial cancer and more particularly a cutaneous epithelial cancer of basocellular or spinocellular type.